v4leriaaa
08.03.2021 •
Mathematics
If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.
A) NK=
B) JL =
C) KL=
D) mZJKM =
E) mZJML =
F) mZMLK =
G) mZMNL =
H) mZKJL =
Solved
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Ответ:
Step-by-step explanation:
Given
Solving (a): NK
MK is a diagonal and NK is half of the diagonal. So:
Solving (b): JL
JL is a diagonal, and it is twice of NL.
Solving (c): KL
To solve for KL, we consider triangle KNL where:
and
Solving (d - h):
To do this, we consider triangle JKN
-- diagonals bisect one another at right angle
Alternate interior angles are equal. So:
Similarly:
So:
Ответ: